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Introductory Real Analysis

Author: A. N. Kolmogorov
Publisher: Courier Corporation
ISBN: 0486134741
Size: 74.36 MB
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Comprehensive, elementary introduction to real and functional analysis covers basic concepts and introductory principles in set theory, metric spaces, topological and linear spaces, linear functionals and linear operators, more. 1970 edition.

Real Analysis

Author: Norman B. Haaser
Publisher: Courier Dover Publications
ISBN: 9780486665092
Size: 15.33 MB
Format: PDF, ePub, Mobi
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Clear, accessible text for 1st course in abstract analysis. Explores sets and relations, real number system and linear spaces, normed spaces, Lebesgue integral, approximation theory, Banach fixed-point theorem, Stieltjes integrals, more. Includes numerous problems.

Introductory Complex Analysis

Author: Richard A. Silverman
Publisher: Courier Corporation
ISBN: 0486318524
Size: 64.55 MB
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Shorter version of Markushevich's Theory of Functions of a Complex Variable, appropriate for advanced undergraduate and graduate courses in complex analysis. More than 300 problems, some with hints and answers. 1967 edition.

Introduction To Analysis

Author: Maxwell Rosenlicht
Publisher: Courier Corporation
ISBN: 0486134687
Size: 32.76 MB
Format: PDF, Kindle
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Written for junior and senior undergraduates, this remarkably clear and accessible treatment covers set theory, the real number system, metric spaces, continuous functions, Riemann integration, multiple integrals, and more. 1968 edition.

Elements Of Real Analysis

Author: David A. Sprecher
Publisher: Courier Corporation
ISBN: 0486153258
Size: 66.14 MB
Format: PDF, Kindle
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Classic text explores intermediate steps between basics of calculus and ultimate stage of mathematics — abstraction and generalization. Covers fundamental concepts, real number system, point sets, functions of a real variable, Fourier series, more. Over 500 exercises.

Elementary Functional Analysis

Author: Georgi E. Shilov
Publisher: Courier Corporation
ISBN: 0486318680
Size: 21.34 MB
Format: PDF, ePub
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Introductory text covers basic structures of mathematical analysis (linear spaces, metric spaces, normed linear spaces, etc.), differential equations, orthogonal expansions, Fourier transforms, and more. Includes problems with hints and answers. Bibliography. 1974 edition.

An Illustrative Introduction To Modern Analysis

Author: Nikolaos Katzourakis
Publisher: CRC Press
ISBN: 1351765329
Size: 77.97 MB
Format: PDF, Docs
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Aimed primarily at undergraduate level university students, An Illustrative Introduction to Modern Analysis provides an accessible and lucid contemporary account of the fundamental principles of Mathematical Analysis. The themes treated include Metric Spaces, General Topology, Continuity, Completeness, Compactness, Measure Theory, Integration, Lebesgue Spaces, Hilbert Spaces, Banach Spaces, Linear Operators, Weak and Weak* Topologies. Suitable both for classroom use and independent reading, this book is ideal preparation for further study in research areas where a broad mathematical toolbox is required.

Banach Space Theory

Author: Marián Fabian
Publisher: Springer Science & Business Media
ISBN: 9781441975157
Size: 13.92 MB
Format: PDF, ePub, Docs
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Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics. This book introduces the reader to linear functional analysis and to related parts of infinite-dimensional Banach space theory. Key Features: - Develops classical theory, including weak topologies, locally convex space, Schauder bases and compact operator theory - Covers Radon-Nikodým property, finite-dimensional spaces and local theory on tensor products - Contains sections on uniform homeomorphisms and non-linear theory, Rosenthal's L1 theorem, fixed points, and more - Includes information about further topics and directions of research and some open problems at the end of each chapter - Provides numerous exercises for practice The text is suitable for graduate courses or for independent study. Prerequisites include basic courses in calculus and linear. Researchers in functional analysis will also benefit for this book as it can serve as a reference book.

Foundations Of The Theory Of Probability

Author: A.N. Kolmogorov
Publisher: Courier Dover Publications
ISBN: 0486829790
Size: 75.49 MB
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This famous little book remains a foundational text for the understanding of probability theory, important both to students beginning a serious study of probability and to historians of modern mathematics. 1956 second edition.

An Introduction To Modern Analysis

Author: Vicente Montesinos
Publisher: Springer
ISBN: 3319124811
Size: 63.15 MB
Format: PDF, Kindle
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Examining the basic principles in real analysis and their applications, this text provides a self-contained resource for graduate and advanced undergraduate courses. It contains independent chapters aimed at various fields of application, enhanced by highly advanced graphics and results explained and supplemented with practical and theoretical exercises. The presentation of the book is meant to provide natural connections to classical fields of applications such as Fourier analysis or statistics. However, the book also covers modern areas of research, including new and seminal results in the area of functional analysis.